At a conference, there are a total of 275 attendees. Each attendee is assigned to either group A, group B,

Question

At a conference, there are a total of 275 attendees. Each attendee is assigned to either group A, group B, or group C. If one of these attendees is selected at random, the probability of selecting an attendee who is assigned to group A is 0.44 and the probability of selecting an attendee who is assigned to group B is 0.24 . How many attendees are assigned to group C?

Accepted Answer

The correct answer is 88 . It's given that there are a total of 275 attendees and each attendee is assigned to either group A, group B, or group C. It's also given that if one of these attendees is selected at random, the probability of selecting an attendee who is assigned to group A is 0.44 and the probability of selecting an attendee who is assigned to group B is 0.24 . It follows that there are 0.44 275 , or 121 , attendees who are assigned to group A and 0.24 275 , or 66 , attendees who are assigned to group B. The number of attendees who are assigned to group C is the number of attendees who are not assigned to group A or group B. In other words, the number of attendees who are assigned to group C is the total number of attendees minus the number of attendees who are assigned to group A and group B. Therefore, the number of attendees who are assigned to group C is 275 - 121 - 66 , or 88 .

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